Analytical Formulation For The Radioactive Contaminant Released From Nuclear Power Plants
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B. E. J. Bodmann, U. Rizza, D. Buske, M. T. Vilhena & T. Tirabassi
In this contribution we discuss analytical modelling of radioactive substance dispersion that results from either controlled or accidental release by nuclear power plants. Our model is based on the three-dimensional advection–diffusion equation with mean wind velocity field from observation. All meteorological parameters are determined using the meso-scale Weather Research and Forecasting (WRF) platform. The obtained solution permits us to simulate radioactive substances dispersion in a turbulent regime in the environment around a power plant, which is of interest for nuclear reactor accident scenarios and their related emergency actions.We discuss the closed form method for solving the equation which is then applied to radioactive substance dispersion. Finally, the results of the model are presented. Keywords: advection–diffusion equation, pollutant dispersion, analytical solution, integral transform. 1 Introduction While the renaissance of nuclear power was motivated by the increasing energy demand and the related climate problem, the recent history of nuclear power, more specifically two disastrous accidents, have forced focus on nuclear safety. Although, experience gathered along nuclear reactor developments has sharpened the rules and regulations that lead to the commissioning of latest generation
advection–diffusion equation, pollutant dispersion, analytical solution, integral transform.